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Finding the Fourth Proportional to 215.38, 295.65 and 195.94

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Solution

The fourth proportional to 215.38, 295.65 and 195.94 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.38 : 295.65 = 195.94 : x
  2. Step 2: Convert to fraction form
    215.38/295.65 = 195.94/x
  3. Step 3: Cross multiply
    215.38x = 295.65 × 195.94
  4. Step 4: Simplify right side
    215.38x = 57,928.68
  5. Step 5: Solve for x
    x = 57,928.68/215.38
  6. Step 6: Final answer
    x = 268.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.